Besov spaces on open sets with the Dirichlet boundary condition and their application to the fractional Laplacian

開催日時: 
2018/04/13 Fri 15:30 - 17:30
場所: 
3号館251号室
講演者: 
岩渕 司
講演者所属: 
東北大学大学院理学研究科
概要: 

In this talk, we introduce the Besov spaces associated with the Dirichlet Laplacian on an arbitrary open set. Basic properties such as the completeness, the embedding theorem, e.t.c. are shown. As an application, we will study the semigroup generated by the Dirichlet Laplacian of fractional order.